Calculus 1: Max-Min Problems (18 of 30) Maximum Area of Square + Circle

In this video I will findhow long each piece of a 12m wire, L1=? and L2=? to make a square and circle, have to be to have a maximum and minimum total area.

Next video in this series can be seen at:

[rah]

The very last line in the right column has an error. It should read R = ( 6 pi ) / ( 4 pi + pi * pi ) =.840 Further we know that A' is a minimum because A''= 8/pi >0

[fcar]

I think what confuses students is that the  question clearly states that you cut the wire into 2 pieces....but the max area  turns out to be if you do not cut the wire ...and use all of 12 m to form a circle.  Sort of misleading... on a test. The boundary is 0 -100m  hence..not including end points 0 and 100 ...if you cut the wire .

[jasminejoaquin]

Would the greatest area be at an end point regardless of the length of wire? I have looked at similar problems and this always seems to be the case.